Hearthprep — 13+ Maths Scholarship Practice
Hearthprep wrote this 13+ Maths practice paper to simulate the real entrance exam; no school set it. It runs 5 questions worth 50 marks in 60 minutes, each marked the moment the paper is submitted and backed by a step-by-step worked solution. Most 13+ entrance exams are sat between November and January of the year of entry.
Challenging original Hearthprep practice paper pitched at 13+ scholarship level. Tests problem-solving, algebra, geometry, and mathematical reasoning. Covers Maths at 13+ level.
Written by Hearthprep to simulate the real exam — matched to its format, length and timing, with a full worked solution for every question and no missing diagrams. No school set it and it is not a past paper, which is rather the point: it is unseen practice, so your child meets these questions for the first time under exam conditions. Most 13+ entrance exams are sat between November and January of the year of entry, so a timed attempt at this paper is worth doing early enough to leave room for the topics it exposes. Work through it on screen with instant marking, or print the PDF and sit it under exam conditions.
- School
- Hearthprep
- Entry level
- 13+
- Subject
- Maths
- Year
- Practice
- Questions
- 5
- Marks
- 50
- Time
- 60 minutes
- Exam board
- Hearthprep
Questions in this paper (3 of 5)
- Question 1short answer · 3 marks
Express 0.36̇ (0.3666...) as a fraction in its simplest form.
- Question 2short answer · 3 marks
The sum of three consecutive odd numbers is 87. What is the largest of the three numbers?
- Question 3multiple choice · 3 marks
A cube has surface area 294 cm². What is its volume?
2 further questions in this paper open with any paid plan, along with marking and the worked solutions. See plans.
Frequently asked questions
What is in the Hearthprep — 13+ Maths Scholarship Practice?
5 questions worth 50 marks in total, written for 60 minutes. It covers Maths at 13+ level. Hearthprep wrote this paper to simulate the 13+ Maths exam; no school set it.
How long is the Hearthprep 13+ Maths paper?
This paper is timed at 60 minutes for 50 marks — roughly 72 seconds a mark. Hearthprep runs the same clock on screen, so your child sees how far through the time they are as they answer.
Can my child answer this paper online?
Yes. Every question on this page can be answered in the browser and is marked the moment the paper is submitted — multiple choice, short answers and written responses alike. Answers are matched leniently, so a correct value written a different way (units, fractions, word numbers) still scores.
Are worked solutions included?
Every question has a step-by-step worked solution and an AI tutor that will talk through it after the paper is submitted. The first 3 questions of this paper are free to try; the remaining 2 and the marking come with a paid plan.
Is this a real Hearthprep past paper?
Written by Hearthprep to simulate the real exam — matched to its format, length and timing, with a full worked solution for every question and no missing diagrams. No school set it and it is not a past paper, which is rather the point: it is unseen practice, so your child meets these questions for the first time under exam conditions.
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